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RAPSODI Research team

Reliable numerical approximations of dissipative systems

Team presentation

RAPSODI is a common research team with Université Lille 1 and CNRS. 
Its activity is devoted on designing, analyzing, and efficiently implementing 
some numerical schemes for dissipative models arising in physics. 
We particularly focus our attention on preserving some physical characteristics 
at the discrete level: positivity, mass conservation, growth of physical entropies, 
asymptotic behaviors… We also aim at optimizing the computational cost given 
a fixed accuracy by developing high order schemes or by the mean of a posteriori 
error control. Finally, we adapt the algorithms to the constraints of the industrial 
framework in order to incorporate them in existing codes. 

Research themes

  • Mathematical topics
    • theoretical and numerical analysis of partial differential equations,
    • finite volume and finite element schemes,
    • high order methods, spectral methods,
    •  a posteriori error control,
    • asymptotic preserving schemes.
  • Application fields
    • porous media flows, 
    • complex fluid mechanics,
    • corrosion,
    • semi-conductor devices,
    • low-frequency electromagnetism

International and industrial relations

  • Industrial partners
    • ANDRA
    • CEA
    • EDF
    • IFPEN
  • Academic partners
    • Université Pierre et Marie Curie
    • Université de Nice - Sophia Antipolis
    • Université de Nantes
    • Université François Rabelais (Tours)    
    • Université Paul Sabatier (Toulouse)
    • Aix-Marseille Université
    • T. U. Eindhoven (Pays-Bas)
    • T. U. Vienne (Autriche)
    • Monash University (Melbourne, Australie)    
    • Université de Monastir (Tunisie)
    • Unicamp (Campinas, Brésil)

 

Keywords: Design of numerical schemes Numerical analysis Partial differential equations Dissipative problems control of the computational costs.